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Finding the Fourth Proportional to 3,768.98, 5,200.13 and 2,196.77

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Solution

The fourth proportional to 3,768.98, 5,200.13 and 2,196.77 is: 3,030.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.98 : 5,200.13 = 2,196.77 : x
  2. Step 2: Convert to fraction form
    3,768.98/5,200.13 = 2,196.77/x
  3. Step 3: Cross multiply
    3,768.98x = 5,200.13 × 2,196.77
  4. Step 4: Simplify right side
    3,768.98x = 11,423,489.58
  5. Step 5: Solve for x
    x = 11,423,489.58/3,768.98
  6. Step 6: Final answer
    x = 3,030.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.